advanced_tools:gauge_symmetry:brst
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advanced_tools:gauge_symmetry:brst [2017/05/07 15:21] jakobadmin [Researcher] |
advanced_tools:gauge_symmetry:brst [2022/06/11 06:57] (current) 212.102.42.217 [Researcher] |
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| <cite>Elements of BRST Theory by Teitelboim</cite> | <cite>Elements of BRST Theory by Teitelboim</cite> | ||
| </blockquote> | </blockquote> | ||
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| + | <blockquote> | ||
| + | **My own point of view is that** there’s still a lot of very non-trivial things to be understood about gauge symmetry in QFT and that the **BRST sort of homological techniques for dealing with it are of deep significance**. Others will disagree, arguing that gauge symmetry is just an un-physical redundancy in our description of nature, and how one treats it is a technical problem that is not of a physically significant nature. One reaction to this question is to just give up on BRST outside of perturbation theory as something unnecessary. In lattice gauge theory computations, one doesn’t fix a gauge or need to invoke BRST. However, one can only get away with this in vector-like theories, not chiral gauge theories like the Standard Model. Non-perturbative chiral gauge theories have their own problems… | ||
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| + | <cite>http://www.math.columbia.edu/~woit/wordpress/?p=2876</cite> | ||
| + | </blockquote> | ||
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| + | <blockquote> | ||
| + | During the last few years **various authors have suggested to elevate the requirement of BRS-invariance to the level of a guiding principle for constructing gauge theories** [1]. This leads directly to a theory involving ghosts. As a result of dimensional regularization, it is known that BRS invariance survives quantization to any order in perturbation theory [2 ]. | ||
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| + | <cite>Nonperturbative BRS invariance and the Gribov problem by Herbert Neuberger</cite> | ||
| + | </blockquote> | ||
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| + | **Important Related Concepts** | ||
| + | |||
| + | * [[advanced_tools:cohomology]] | ||
| <tabbox Layman?> | <tabbox Layman?> | ||
| - | <note tip> | + | * [[https://arxiv.org/abs/hep-th/0201124|Aspects of BRST Quantization]] by Holten |
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | |
| - | </note> | + | |
| - | | + | |
| <tabbox Student> | <tabbox Student> | ||
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| - | --> What is the connection between BRST and toplogy?# | + | --> What is the connection between BRST and topology?# |
| - | The BRST operator satisfies $\Omgea^2=0$, (we say it is nilpotent). | + | The BRST operator satisfies $\Omega^2=0$, (we say it is nilpotent). |
| <blockquote> | <blockquote> | ||
advanced_tools/gauge_symmetry/brst.1494163314.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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